Bercovier, M.; Pironneau, O. Error estimates for finite element method solution of the Stokes problem in the primitive variables. (English) Zbl 0423.65058 Numer. Math. 33, 211-224 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 151 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 76D05 Navier-Stokes equations for incompressible viscous fluids 35Q30 Navier-Stokes equations Keywords:error estimates; finite element approximation; Stokes equation; mixed variational principle; Brezzi-type inequality × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Brezzi, F.: On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multiplier. RAIRO, S?rie Analyse Num?rique, R.2. p. 129-151 (1974) · Zbl 0338.90047 [2] Brezzi, F., Raviart, P.A.: Mixed Finite Element Methods for the 4th order elliptic equations. Topics in Numerical Analysis III, (J.J.H. Miller, ed.) New York: Academic Press, (in press) · Zbl 0434.65085 [3] Hood, P., Taylor, G.: Navier-Stokes equation using mixed interpolation, Finite Element Method in flow problems, Oden Editor, UAH Press (1974) [4] Huyakorn, P.S., Taylor, C., Lee, R.L., Gresho, P.M.: A comparison of various mixed-interpolation Finite elements for the Navier Stokes equation. Computer and Fluids,6, 25-35 (1978) · Zbl 0381.76024 · doi:10.1016/0045-7930(78)90004-X [5] Jamet, Raviart, P.A.: Numerical Solution of the Stationary Navier-Stokes equation by Finite Element Method. Lecture notes in Computer Science, V. 10, Berlin-Heidelberg-New York: Springer, 193-223 (1974) [6] Ladyzhenskaya, O.: The Mathematical Theory of Viscous Incompressible Flows. London: Gordon and Breach (1963) · Zbl 0121.42701 [7] Le Tallec, P.: Simulation Num?rique d’Ecoulements Visqueux. Th?se 3?me cycle, Paris 6, Juin 1978. [8] Nickell, R.E., Tanner, R.I., Caswell, B.: The solution of viscous incompressible jet and free surface flow using Finite Element Method. J. Fluid. Mech.,65, 189-206 (1974) · Zbl 0298.76022 · doi:10.1017/S0022112074001339 [9] Raviart, P.A.: Finite Element Methods and Navier Stokes equations. University of Paris 6, LAN, International Report No 189 · Zbl 0403.76039 [10] Thomas, J.M.: (1977) Sur l’Analyse Num?rique des M?thodes d’El?ments Finis Hybrides et Mixtes. Doctoral Thesis, Paris 6 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.